How many minds exist within the Holy Trinity?

Normally I would hear the answer is one mind, but I was wondering; If beliefs are part of your mind, and since Jesus (the second person) would believe "I am the Son of God" and the Father would believe "I am the Father", They would believe two different things i.e, The Son would not believe He is the Father but the Father would believe He is the Father. Shouldn't that mean the Trinity should have three minds (for each conciseness/person) and one will?